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Finding the Fourth Proportional to 98.08, 147.88 and 89.44

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Solution

The fourth proportional to 98.08, 147.88 and 89.44 is: 134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.08 : 147.88 = 89.44 : x
  2. Step 2: Convert to fraction form
    98.08/147.88 = 89.44/x
  3. Step 3: Cross multiply
    98.08x = 147.88 × 89.44
  4. Step 4: Simplify right side
    98.08x = 13,226.39
  5. Step 5: Solve for x
    x = 13,226.39/98.08
  6. Step 6: Final answer
    x = 134.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.